MAC 1 Sullivan Practice for Chapter 2 Test (Kincade) Name Date Section MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the distance d(p1, P2) between the points P1 and P2. 1) P1 = (7, ); P2 = (-7, -4) 1) A) B) 277 C) 126 D) 11 2) P1 = (-1, -2); P2 = (6, -3) 2) A) 48 B) 2 C) 8 D) 48 3 3) P1 = (1, ); P2 = (-11, 0) 3) A) 169 B) 26 C) 14 D) 13 Solve the problem. 4) Find all values of k so that the given points are 29 units apart. (-, ), (k, 0) A) -3, -7 B) -7 C) 7 D) 3, 7 4) ) A motorccle and a car leave an intersection at the same time. The motorccle heads north at an average speed of 20 miles per hour, while the car heads east at an average speed of 48 miles per hour. Find an epression for their distance apart in miles at the end of t hours. A) t 68 miles B) 2t 13 miles C) 2t miles D) 2 t miles ) 1
Find the midpoint of the line segment joining the points P1 and P2. 6) P1 = (6, 3); P2 = (8, 9) 6) A) (14, 12) B) (-2, -6) C) (7, 6) D) (6, 7) 7) P1 = (-1, -7); P2 = (3, -4) A) (- 2, - 3 2 11 ) B) (-4, -3) C) (1, - ) D) (2, -11) 2 7) 8) P1 = (7, 1); P2 = (-16, -16) A) (-9, -1) B) ( 23 2, 17 2 ) C) (9, 1) D) (- 9 2, - 1 2 ) 8) Solve the problem. 9) If (2, -1) is the endpoint of a line segment, and (1, -6) is its midpoint, find the other endpoint. A) (0, -11) B) (4, 9) C) (-8, -3) D) (0, 4) 9) Name the quadrant in which the point is located. ) (3, 1) A) I B) II C) III D) IV ) 2
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Write the standard form of the equation of the circle. 11) 11) (4, ) (8, ) Graph the circle with radius r and center (h, k). 12) r = ; (h, k) = (0, 2) 12) - - - - 13) r = ; (h, k) = (2, 0) 13) - - - - 3
Find the center (h, k) and radius r of the circle. Graph the circle. 14) 2 + 2-8 - 2 + 13 = 0 14) - - - - MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the slope of the line through the points and interpret the slope. 1) 1) (, 1) (0, 0) - - - - A) -; for ever 1-unit increase in, will decrease b units B) ; for ever 1-unit increase in, will increase b units C) 1 ; for ever -unit increase in, will increase b 1 unit D) - 1 ; for ever -unit increase in, will decrease b 1 unit 4
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Graph the line containing the point P and having slope m. 16) P = (0, ); m = 2 3 16) - - - - 17) P = (3, -3); m = 0 17) - - - - MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 18) Find the slope-intercept form of the equation of the line containing the points (-3, -6) and (1, -1). 18) A) = - 4-9 4 B) + 6 = 4 ( + 3) C) = 4-9 4 D) = m - 9 4
Find the slope-intercept form of the equation of the line with the given properties. 19) slope = 4; containing the point (-4, -) A) = 4 + 6 B) = -4 + 6 C) = -4-6 D) = 4-6 19) Solve the problem. 20) The relationship between Celsius (ec) and Fahrenheit (ef) degrees of measuring temperature is linear. Find an equation relating ec and ef if ec corresponds to 0eF and 30eC corresponds to 86eF. Use the equation to find the Celsius measure of 29e F. A) C = 9 139 F - 80; - ec B) C = F - ; 9 9 ec C) C = 9 F + 160 9 ; 30 9 ec D) C = 9 F - 160 9 ; - 3 ec 20) Find an equation for the line with the given properties. 21) Perpendicular to the line = 1 + 2; containing the point (3, -2) 4 21) A) = - 4 - B) = - 1 4-2 C) = 4 - D) = - 4 + 22) Perpendicular to the line = -7; containing the point (4, 9) A) = 9 B) = 4 C) = 4 D) = 9 22) Write a general formula to describe the variation. 23) A varies directl with t2; A = 180 when t = 6 A) A = t2 B) A = 30t2 C) A = t2 D) A = 30 t2 23) 6
Solve the problem. 24) The wattage rating of an appliance, W, varies jointl as the square of the current, I, and the resistance, R. If the wattage is 12 watts when the current is 0.2 ampere and the resistance is 300 ohms, find the wattage when the current is 0.3 ampere and the resistance is 20 ohms. A) 7 watts B) 22. watts C) 18,70 watts D) watts 24) Write a general formula to describe the variation. 2) z varies jointl as the cube root of and the cube of ; z = 2 when = 12 and = 2. 2) A) z = 1 20 3 3 B) z = 16 3 3 C) z = 20 3 3 D) z = 16 3 3 Solve the problem. 26) The price per person of renting a bus varies inversel with the number of people renting the bus. It costs $26 per person if 1 people rent the bus. How much will it cost per person if 96 people rent the bus? A) $13.81 B) $48.94 C) $16.90 D) $188.31 26) Decide whether the pair of lines is parallel, perpendicular, or neither. 27) 3-8 = -1 32 + 12 = -1 A) parallel B) perpendicular C) neither 27) 7
Find an equation for the line with the given properties. 28) The solid line L contains the point (4, 3) and is perpendicular to the dotted line whose equation is = 2. Give the equation of line L in slope-intercept form. 28) - - A) = 1 2 + B) - 3 = - 1 2 ( - 4) C) - 3 = 2( - 4) D) = - 1 2 + 29) Parallel to the line - - = 6; containing the point (0, 0) A) = - 1 B) = - C) = 1 D) = 1 + 6 29) The equation of a line L is given. Find the slope of a line that is perpendicular to L. 30) = 30) A) 1 B) - C) D) - 1 Find an equation for the line with the given properties. 31) Parallel to the line = ; containing the point (8, 9) A) = 8 B) = 9 C) = D) = -9 31) 8
Complete the statement. 32) Two nonvertical lines are perpendicular if and onl if. A) the product of their slopes is -1 B) the product of their slopes is 1 C) their slopes are equal and the have the same -intercepts D) their slopes are equal and the have different -intercepts 32) Find an equation for the line with the given properties. 33) The solid line L contains the point (3, 4) and is parallel to the dotted line whose equation is = 2. Give the equation for the line L in slope-intercept form. 33) - - A) = 2 + b B) - 4 = 2( - 3) C) = 2-2 D) = 2 + 1 Complete the statement. 34) Two nonvertical lines are parallel if and onl if. A) their slopes are equal and the have the same -intercepts B) the product of their slopes is -1 C) their slopes are equal and the have different -intercepts D) the product of their slopes is 1 34) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. 3) Each month a gas station sells gallons of gas at $1.92/gallon. The cost to the owner of the gas station for each gallon of gas is $1.32. The monthl fied cost for running the gas station is $37,000. Write an equation that relates the monthl profit, in dollars, to the number of gallons of gasoline sold. Then use the equation to find the monthl profit when 7,000 gallons of gas are sold in a month. 3) 9
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the general form of the equation for the line with the given properties. 36) Containing the points (, 0) and (0, -4) A) 4 - = 20 B) = - 4 + C) 4 + = 20 D) = - 4-4 36) 37) Containing the points (-4, -9) and (0, 8) A) - + 8 = -64 B) - 8 = -64 C) -17-4 = -32 D) 17-4 = -32 37) 38) Containing the points (-7, 6) and (-4, 1) A) - 3 = 17 B) 13 + = -7 C) -13 - = -7 D) - - 3 = 17 38) Find the slope and -intercept of the line. 39) 9 - = 90 39) A) slope = - 9 ; -intercept = 9 B) slope = 9 ; -intercept = -9 C) slope = 9; -intercept = 90 D) slope = ; -intercept = 9 40) + = 9 A) slope = 0; -intercept = 9 B) slope = -1; -intercept = -9 C) slope = -1; -intercept = 9 D) slope = 1; -intercept = 9 40)
Write the equation in slope-intercept form. 41) - 6 = 2 41) A) = 6 + 2 B) = 6-1 3 C) -6 = - + 2 D) = - + 8 Find the equation of the line in slope-intercept form. 42) 42) - (4, -3) - (3, -) A) = 2 + 13 B) = 2-11 C) = 1 2 + 8 11 D) = 2 + 11 Solve the problem. 43) Find an equation of the vertical line through the point (8.4, -.). A) = -. B) = 2.9 C) = 0 D) = 8.4 43) 44) Find an equation of the vertical line containing the point (7, 2). A) = 7 B) = 2 C) = 7 D) = 2 44) 11
Find the slope of the line through the points and interpret the slope. 4) (1, -3); (7, 8) 4) A) 6 ; for ever 11-unit increase in, will increase b 6 units 11 B) 11 ; for ever 6-unit increase in, will increase b 11 units 6 C) - 11 ; for ever 6-unit increase in, will decrease b 11 units 6 D) - 6 ; for ever 11-unit increase in, will decrease b 6 units 11 Find the slope of the line containing the two points. 46) (-7, -7); (-7, -6) A) 1 B) 0 C) - 1 D) undefined 46) Find the center (h, k) and radius r of the circle with the given equation. 47) 2 + 2-14 - 12 + 8 = 64 A) (h, k) = (6, 7); r = 8 B) (h, k) = (-7, -6); r = 64 C) (h, k) = (-6, -7); r = 64 D) (h, k) = (7, 6); r = 8 47) 48) 2 + 2 + 8 + 12 = -3 A) (h, k) = (6, 4); r = 49 B) (h, k) = (-6, -4); r = 7 C) (h, k) = (4, 6); r = 49 D) (h, k) = (-4, -6); r = 7 48) Write the standard form of the equation of the circle with radius r and center (h, k). 49) r = 11; (h, k) = (0, -) A) ( + )2 + 2 = 121 B) 2 + ( - )2 = 11 C) 2 + ( + )2 = 121 D) ( - )2 + 2 = 121 49) 12
0) r = 7; (h, k) = (-1, -4) A) ( + 1)2 + ( + 4)2 = 49 B) ( - 1)2 + ( - 4)2 = 7 C) ( + 1)2 + ( + 4)2 = 7 D) ( - 1)2 + ( - 4)2 = 49 0) Find the center (h, k) and radius r of the circle with the given equation. 1) ( - 7)2 + ( + 9)2 = 0 A) (h, k) = (-9, 7); r = B) (h, k) = (7, -9); r = C) (h, k) = (7, -9); r = 0 D) (h, k) = (-9, 7); r = 0 1) 13
Answer Ke Testname: PRACTICE SINGLE SPACED 1) B 2) B 3) D 4) A ) C 6) C 7) C 8) D 9) A ) A 11) ( - 6)2 + ( - )2 = 4 12) - - - - 13) - - - - 14) (h, k) = (4, 1); r = 2 - - - - 14
Answer Ke Testname: PRACTICE SINGLE SPACED 1) C 16) - - - - 17) - - - - 18) C 19) A 20) D 21) D 22) C 23) C 24) B 2) A 26) A 27) B 28) D 29) B 30) D 31) B 32) A 33) C 34) C 3) P = 0.60-37,000; $8000 36) A 37) D 38) D 39) B 40) C 1
Answer Ke Testname: PRACTICE SINGLE SPACED 41) B 42) B 43) D 44) C 4) B 46) D 47) D 48) D 49) C 0) A 1) B 16